%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO553+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:27 PM UTC 2026
% Result : Theorem 21.82s 3.81s
% Output : CNFRefutation 21.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 29
% Syntax : Number of formulae : 388 ( 139 unt; 0 def)
% Number of atoms : 820 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 774 ( 342 ~; 335 |; 67 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 722 ( 0 sgn 706 !; 16 ?; 212 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X1,X3)
& perp(X5,X0,X1,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> para(X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012013) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X1,X3)
& perp(X5,X0,X1,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> para(X4,X5,X6,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X1,X3)
& perp(X5,X0,X1,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3)
& ~ para(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X1,X3)
& perp(X7,X2,X1,X3)
& coll(X6,X0,X2)
& perp(X6,X3,X0,X2)
& coll(X5,X1,X3)
& perp(X5,X0,X1,X3)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3)
& ~ para(X4,X5,X6,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK27,sK21,sK23)
& perp(sK27,sK22,sK21,sK23)
& coll(sK26,sK20,sK22)
& perp(sK26,sK23,sK20,sK22)
& coll(sK25,sK21,sK23)
& perp(sK25,sK20,sK21,sK23)
& coll(sK24,sK20,sK22)
& perp(sK24,sK21,sK20,sK22)
& para(sK20,sK22,sK21,sK23)
& para(sK20,sK21,sK22,sK23)
& ~ para(sK24,sK25,sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f384,plain,
coll(sK27,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK27,sK22,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK26,sK23,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK25,sK20,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK24,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
para(sK20,sK22,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ para(sK24,sK25,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_162,negated_conjecture,
~ para(sK24,sK25,sK26,sK27),
inference(cnf_transformation,[],[f394]) ).
tcf(c_163,negated_conjecture,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f393]) ).
tcf(c_164,negated_conjecture,
para(sK20,sK22,sK21,sK23),
inference(cnf_transformation,[],[f392]) ).
tcf(c_165,negated_conjecture,
perp(sK24,sK21,sK20,sK22),
inference(cnf_transformation,[],[f391]) ).
tcf(c_166,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_167,negated_conjecture,
perp(sK25,sK20,sK21,sK23),
inference(cnf_transformation,[],[f389]) ).
tcf(c_168,negated_conjecture,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f388]) ).
tcf(c_169,negated_conjecture,
perp(sK26,sK23,sK20,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_170,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_171,negated_conjecture,
perp(sK27,sK22,sK21,sK23),
inference(cnf_transformation,[],[f385]) ).
tcf(c_172,negated_conjecture,
coll(sK27,sK21,sK23),
inference(cnf_transformation,[],[f384]) ).
tcf(c_178,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_4298,negated_conjecture,
coll(sK27,sK21,sK23),
inference(demodulation,[status(thm)],[c_172]) ).
tcf(c_4299,negated_conjecture,
perp(sK27,sK22,sK21,sK23),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_4300,negated_conjecture,
coll(sK26,sK20,sK22),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4301,negated_conjecture,
perp(sK26,sK23,sK20,sK22),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4302,negated_conjecture,
coll(sK25,sK21,sK23),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4303,negated_conjecture,
perp(sK25,sK20,sK21,sK23),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4304,negated_conjecture,
coll(sK24,sK20,sK22),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4305,negated_conjecture,
perp(sK24,sK21,sK20,sK22),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4306,negated_conjecture,
para(sK20,sK22,sK21,sK23),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4307,negated_conjecture,
para(sK20,sK21,sK22,sK23),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5834,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_4304,c_49]) ).
tcf(c_5835,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_4302,c_49]) ).
tcf(c_5836,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_4300,c_49]) ).
tcf(c_5837,plain,
coll(sK27,sK23,sK21),
inference(superposition,[status(thm)],[c_4298,c_49]) ).
tcf(c_5842,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_4304,c_50]) ).
tcf(c_5843,plain,
coll(sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_4302,c_50]) ).
tcf(c_5844,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_4300,c_50]) ).
tcf(c_5907,plain,
para(sK20,sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_4306,c_52]) ).
tcf(c_5914,plain,
para(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_4307,c_53]) ).
tcf(c_5915,plain,
para(sK21,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_4306,c_53]) ).
tcf(c_5917,plain,
para(sK23,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_5907,c_53]) ).
tcf(c_5919,plain,
para(sK22,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_5914,c_52]) ).
tcf(c_5921,plain,
para(sK21,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_5915,c_52]) ).
tcf(c_5928,plain,
perp(sK26,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_4301,c_55]) ).
tcf(c_5934,plain,
perp(sK20,sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_4305,c_56]) ).
tcf(c_5935,plain,
perp(sK21,sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_4303,c_56]) ).
tcf(c_5937,plain,
perp(sK21,sK23,sK27,sK22),
inference(superposition,[status(thm)],[c_4299,c_56]) ).
tcf(c_5950,plain,
para(sK21,sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_5919,c_53]) ).
tcf(c_5965,plain,
perp(sK21,sK23,sK20,sK25),
inference(superposition,[status(thm)],[c_5935,c_55]) ).
tcf(c_5969,plain,
perp(sK21,sK23,sK22,sK27),
inference(superposition,[status(thm)],[c_5937,c_55]) ).
tcf(c_6027,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_4302,c_51]) ).
tcf(c_6028,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_4300,c_51]) ).
tcf(c_6029,plain,
! [X0: $i] :
( coll(sK23,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_4298,c_51]) ).
tcf(c_6030,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_5834,c_51]) ).
tcf(c_6031,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_5835,c_51]) ).
tcf(c_6032,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_5836,c_51]) ).
tcf(c_6033,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK23,X0) ),
inference(superposition,[status(thm)],[c_5837,c_51]) ).
tcf(c_6034,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_5842,c_51]) ).
tcf(c_6035,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_5843,c_51]) ).
tcf(c_6036,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_5844,c_51]) ).
tcf(c_6111,plain,
( coll(sK22,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6034]) ).
tcf(c_6116,plain,
( coll(sK23,sK20,sK27)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6029]) ).
tcf(c_6117,plain,
( coll(sK23,sK20,sK25)
| ~ coll(sK25,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6027]) ).
tcf(c_6152,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_4302,c_6027]) ).
tcf(c_6153,plain,
! [X0: $i] :
( coll(sK25,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6152,c_51]) ).
tcf(c_6173,plain,
coll(sK23,sK23,sK27),
inference(superposition,[status(thm)],[c_4298,c_6029]) ).
tcf(c_6174,plain,
! [X0: $i] :
( coll(sK27,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6173,c_51]) ).
tcf(c_6184,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_5834,c_6030]) ).
tcf(c_6231,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6184,c_49]) ).
tcf(c_6239,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_5835,c_6031]) ).
tcf(c_6240,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6239,c_51]) ).
tcf(c_6245,plain,
( coll(sK25,sK20,sK21)
| ~ coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6240]) ).
tcf(c_6250,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_5836,c_6032]) ).
tcf(c_6255,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6250,c_51]) ).
tcf(c_6257,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_6250,c_49]) ).
tcf(c_6265,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_5837,c_6033]) ).
tcf(c_6266,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6265,c_51]) ).
tcf(c_6271,plain,
( coll(sK27,sK20,sK21)
| ~ coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_6266]) ).
tcf(c_6283,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_5843,c_6035]) ).
tcf(c_6349,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6283,c_51]) ).
tcf(c_6429,plain,
( midp(sK26,sK20,sK22)
| ~ coll(sK26,sK20,sK22)
| ~ cong(sK26,sK20,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_6442,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6231,c_51]) ).
tcf(c_6448,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6442]) ).
tcf(c_6465,plain,
coll(sK26,sK20,sK20),
inference(superposition,[status(thm)],[c_6257,c_50]) ).
tcf(c_6519,plain,
coll(sK27,sK27,sK23),
inference(superposition,[status(thm)],[c_6173,c_6174]) ).
tcf(c_6527,plain,
coll(sK27,sK23,sK27),
inference(superposition,[status(thm)],[c_6519,c_49]) ).
tcf(c_6542,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK22,sK23,X0,X1)
| ~ para(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_6543,plain,
( eqangle(sK20,sK21,sK20,sK20,sK22,sK23,sK20,sK20)
| ~ para(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_6542]) ).
tcf(c_6575,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4301,c_104]) ).
tcf(c_6576,plain,
( cong(sK27,sK21,sK27,sK23)
| ~ midp(sK22,sK21,sK23) ),
inference(superposition,[status(thm)],[c_4299,c_104]) ).
tcf(c_6579,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK23,sK22,sK20) ),
inference(superposition,[status(thm)],[c_5928,c_104]) ).
tcf(c_6675,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ para(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4307,c_54]) ).
tcf(c_6679,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_5914,c_54]) ).
tcf(c_6758,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK21,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4305,c_57]) ).
tcf(c_6759,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK20,X0,X1)
| ~ perp(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4303,c_57]) ).
tcf(c_6760,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK23,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4301,c_57]) ).
tcf(c_6761,plain,
! [X0: $i,X1: $i] :
( para(sK27,sK22,X0,X1)
| ~ perp(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4299,c_57]) ).
tcf(c_6896,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK21,sK22,sK23)
| ~ eqangle(X0,X1,X2,X3,sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_6897,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_6896]) ).
tcf(c_6973,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6575,c_72]) ).
tcf(c_6991,plain,
( cong(sK27,sK23,sK27,sK21)
| ~ midp(sK22,sK21,sK23) ),
inference(superposition,[status(thm)],[c_6576,c_72]) ).
tcf(c_7025,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ perp(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4306,c_58]) ).
tcf(c_7110,plain,
! [X0: $i] :
( circle(sK27,sK21,X0,sK23)
| ~ midp(sK22,sK21,sK23)
| ~ cong(sK27,sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_6576,c_60]) ).
tcf(c_7149,plain,
! [X0: $i,X1: $i] :
( cong(sK26,sK20,X0,X1)
| ~ midp(sK23,sK20,sK22)
| ~ cong(sK26,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6575,c_73]) ).
tcf(c_7150,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK21,X0,X1)
| ~ midp(sK22,sK21,sK23)
| ~ cong(sK27,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6576,c_73]) ).
tcf(c_7213,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_5914,c_6675]) ).
tcf(c_7225,plain,
para(sK24,sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_5934,c_6758]) ).
tcf(c_7241,plain,
para(sK25,sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_5935,c_6759]) ).
tcf(c_7266,plain,
para(sK27,sK22,sK27,sK22),
inference(superposition,[status(thm)],[c_5937,c_6761]) ).
tcf(c_7287,plain,
perp(sK20,sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_5965,c_7025]) ).
tcf(c_7288,plain,
perp(sK20,sK22,sK22,sK27),
inference(superposition,[status(thm)],[c_5969,c_7025]) ).
tcf(c_7392,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_7213,c_115]) ).
tcf(c_7422,plain,
coll(sK24,sK21,sK21),
inference(superposition,[status(thm)],[c_7225,c_115]) ).
tcf(c_7570,plain,
coll(sK21,sK27,sK27),
inference(superposition,[status(thm)],[c_6527,c_6033]) ).
tcf(c_7595,plain,
coll(sK25,sK20,sK20),
inference(superposition,[status(thm)],[c_7241,c_115]) ).
tcf(c_7848,plain,
para(sK26,sK23,sK20,sK25),
inference(superposition,[status(thm)],[c_7287,c_6760]) ).
tcf(c_7875,plain,
para(sK26,sK23,sK22,sK27),
inference(superposition,[status(thm)],[c_7288,c_6760]) ).
tcf(c_7876,plain,
para(sK24,sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_7288,c_6758]) ).
tcf(c_8160,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_8173,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8160]) ).
tcf(c_8273,plain,
para(sK20,sK25,sK26,sK23),
inference(superposition,[status(thm)],[c_7848,c_53]) ).
tcf(c_8311,plain,
para(sK22,sK27,sK24,sK21),
inference(superposition,[status(thm)],[c_7876,c_53]) ).
tcf(c_8355,plain,
! [X0: $i] :
( midp(sK22,X0,sK23)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK22,X0,sK23) ),
inference(superposition,[status(thm)],[c_4306,c_94]) ).
tcf(c_8361,plain,
! [X0: $i] :
( midp(sK21,X0,sK22)
| ~ midp(sK23,X0,sK20)
| ~ coll(sK21,X0,sK22) ),
inference(superposition,[status(thm)],[c_5917,c_94]) ).
tcf(c_8363,plain,
! [X0: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_5921,c_94]) ).
tcf(c_8366,plain,
! [X0: $i] :
( midp(sK20,X0,sK23)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK20,X0,sK23) ),
inference(superposition,[status(thm)],[c_5950,c_94]) ).
tcf(c_8394,plain,
! [X0: $i] :
( midp(sK23,X0,sK25)
| ~ midp(sK26,X0,sK20)
| ~ coll(sK23,X0,sK25) ),
inference(superposition,[status(thm)],[c_7848,c_94]) ).
tcf(c_8396,plain,
! [X0: $i] :
( midp(sK23,X0,sK27)
| ~ midp(sK26,X0,sK22)
| ~ coll(sK23,X0,sK27) ),
inference(superposition,[status(thm)],[c_7875,c_94]) ).
tcf(c_8531,plain,
( midp(sK23,sK20,sK27)
| ~ midp(sK26,sK20,sK22)
| ~ coll(sK23,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_8396]) ).
tcf(c_8533,plain,
( midp(sK23,sK20,sK25)
| ~ midp(sK26,sK20,sK20)
| ~ coll(sK23,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_8394]) ).
tcf(c_8561,plain,
( midp(sK20,sK20,sK23)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_8366]) ).
tcf(c_8566,plain,
( midp(sK21,sK20,sK22)
| ~ midp(sK23,sK20,sK20)
| ~ coll(sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8361]) ).
tcf(c_8616,plain,
! [X0: $i] :
( coll(sK25,sK21,X0)
| ~ coll(sK25,X0,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8619,plain,
( coll(sK25,sK21,sK20)
| ~ coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8616]) ).
tcf(c_8677,plain,
! [X0: $i] :
( coll(sK27,sK21,X0)
| ~ coll(sK27,X0,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8680,plain,
( coll(sK27,sK21,sK20)
| ~ coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8677]) ).
tcf(c_8752,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK22,sK23,X0,X1,X0,X1)
| ~ eqangle(sK20,sK21,X0,X1,sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_8759,plain,
( eqangle(sK20,sK21,sK22,sK23,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK22,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8752]) ).
tcf(c_8795,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7392,c_50]) ).
tcf(c_9030,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_7422,c_50]) ).
tcf(c_9116,plain,
( midp(sK26,sK22,sK20)
| ~ midp(sK23,sK22,sK20)
| ~ coll(sK26,sK22,sK20) ),
inference(superposition,[status(thm)],[c_6579,c_116]) ).
tcf(c_9125,plain,
( midp(sK26,sK22,sK20)
| ~ midp(sK23,sK22,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9116,c_5836]) ).
tcf(c_9763,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7213,c_113]) ).
tcf(c_9780,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK27,sK27)
| ~ para(sK27,sK22,sK27,sK22) ),
inference(superposition,[status(thm)],[c_7266,c_113]) ).
tcf(c_9821,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK27,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9780,c_7266]) ).
tcf(c_9872,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9763,c_7213]) ).
tcf(c_9931,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9872]) ).
tcf(c_10098,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_7595,c_50]) ).
tcf(c_10519,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_4307,c_6679]) ).
tcf(c_10529,plain,
coll(sK22,sK23,sK23),
inference(superposition,[status(thm)],[c_10519,c_115]) ).
tcf(c_10545,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_10529,c_50]) ).
tcf(c_11588,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_8795,c_49]) ).
tcf(c_11593,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_9030,c_49]) ).
tcf(c_12388,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_10098,c_49]) ).
tcf(c_12919,plain,
( cong(sK24,sK20,sK24,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4305,c_104]) ).
tcf(c_13014,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_10545,c_49]) ).
tcf(c_13048,plain,
coll(sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_11588,c_6240]) ).
tcf(c_13836,plain,
coll(sK26,sK25,sK20),
inference(superposition,[status(thm)],[c_12388,c_6255]) ).
tcf(c_14164,plain,
coll(sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_11588,c_6266]) ).
tcf(c_14167,plain,
coll(sK27,sK24,sK21),
inference(superposition,[status(thm)],[c_11593,c_6266]) ).
tcf(c_14664,plain,
coll(sK27,sK22,sK23),
inference(superposition,[status(thm)],[c_13014,c_6174]) ).
tcf(c_14665,plain,
coll(sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_13014,c_6153]) ).
tcf(c_14674,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_13048,c_49]) ).
tcf(c_14685,plain,
coll(sK25,sK26,sK20),
inference(superposition,[status(thm)],[c_13836,c_50]) ).
tcf(c_14686,plain,
coll(sK26,sK20,sK25),
inference(superposition,[status(thm)],[c_13836,c_49]) ).
tcf(c_14937,plain,
( circle(sK27,sK21,sK23,sK23)
| ~ midp(sK22,sK21,sK23) ),
inference(superposition,[status(thm)],[c_6576,c_7110]) ).
tcf(c_14953,plain,
( perp(sK21,sK23,sK23,sK23)
| ~ midp(sK22,sK21,sK23)
| ~ coll(sK27,sK21,sK23) ),
inference(superposition,[status(thm)],[c_14937,c_102]) ).
tcf(c_14954,plain,
( perp(sK21,sK23,sK23,sK23)
| ~ midp(sK22,sK21,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14953,c_4298]) ).
tcf(c_14971,plain,
( para(sK27,sK22,sK23,sK23)
| ~ midp(sK22,sK21,sK23) ),
inference(superposition,[status(thm)],[c_14954,c_6761]) ).
tcf(c_14972,plain,
( para(sK25,sK20,sK23,sK23)
| ~ midp(sK22,sK21,sK23) ),
inference(superposition,[status(thm)],[c_14954,c_6759]) ).
tcf(c_15055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_15091,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15055]) ).
tcf(c_16062,plain,
coll(sK23,sK20,sK25),
inference(superposition,[status(thm)],[c_14674,c_6027]) ).
tcf(c_16084,plain,
coll(sK27,sK21,sK20),
inference(superposition,[status(thm)],[c_14164,c_49]) ).
tcf(c_16107,plain,
coll(sK27,sK21,sK24),
inference(superposition,[status(thm)],[c_14167,c_49]) ).
tcf(c_16113,plain,
coll(sK27,sK23,sK22),
inference(superposition,[status(thm)],[c_14664,c_49]) ).
tcf(c_16118,plain,
coll(sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_16062,c_50]) ).
tcf(c_16119,plain,
coll(sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_16062,c_49]) ).
tcf(c_16183,plain,
! [X0: $i] :
( circle(sK24,sK20,X0,sK22)
| ~ midp(sK21,sK20,sK22)
| ~ cong(sK24,sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_12919,c_60]) ).
tcf(c_16210,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6973,c_7149]) ).
tcf(c_16239,plain,
( cong(sK27,sK21,sK27,sK21)
| ~ midp(sK22,sK21,sK23) ),
inference(superposition,[status(thm)],[c_6991,c_7150]) ).
tcf(c_16293,plain,
coll(sK25,sK20,sK26),
inference(superposition,[status(thm)],[c_14685,c_49]) ).
tcf(c_16303,plain,
coll(sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_14686,c_50]) ).
tcf(c_16305,plain,
coll(sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_14686,c_6028]) ).
tcf(c_16370,plain,
coll(sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_14665,c_50]) ).
tcf(c_16416,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_16305,c_51]) ).
tcf(c_17175,plain,
coll(sK21,sK27,sK20),
inference(superposition,[status(thm)],[c_16084,c_50]) ).
tcf(c_17195,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_16107,c_51]) ).
tcf(c_17201,plain,
( coll(sK24,sK20,sK27)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_17195]) ).
tcf(c_17243,plain,
coll(sK21,sK22,sK27),
inference(superposition,[status(thm)],[c_16113,c_6033]) ).
tcf(c_17271,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_16118,c_49]) ).
tcf(c_17775,plain,
! [X0: $i] :
( coll(sK21,sK20,sK22)
| ~ coll(sK22,X0,sK21)
| ~ coll(sK22,X0,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_17776,plain,
( coll(sK21,sK20,sK22)
| ~ coll(sK22,sK20,sK21)
| ~ coll(sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17775]) ).
tcf(c_17859,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_13014,c_6349]) ).
tcf(c_17877,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_16119,c_51]) ).
tcf(c_17884,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_17877]) ).
tcf(c_17951,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_16303,c_6036]) ).
tcf(c_17965,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_16370,c_51]) ).
tcf(c_17973,plain,
( coll(sK23,sK20,sK22)
| ~ coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_17965]) ).
tcf(c_21503,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_17271,c_51]) ).
tcf(c_21508,plain,
( coll(sK23,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_21503]) ).
tcf(c_21558,plain,
coll(sK21,sK27,sK22),
inference(superposition,[status(thm)],[c_17243,c_49]) ).
tcf(c_21711,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK21,sK22,sK23,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_21716,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK21,sK22,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21711]) ).
tcf(c_22324,plain,
coll(sK22,sK21,sK23),
inference(superposition,[status(thm)],[c_17859,c_50]) ).
tcf(c_24048,plain,
para(sK20,sK25,sK23,sK26),
inference(superposition,[status(thm)],[c_8273,c_52]) ).
tcf(c_24371,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_21558,c_51]) ).
tcf(c_24381,plain,
( coll(sK22,sK20,sK21)
| ~ coll(sK21,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_24371]) ).
tcf(c_24416,plain,
para(sK22,sK27,sK21,sK24),
inference(superposition,[status(thm)],[c_8311,c_52]) ).
tcf(c_24651,plain,
( midp(sK22,sK21,sK23)
| ~ midp(sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_22324,c_8355]) ).
tcf(c_24701,plain,
midp(sK22,sK21,sK23),
inference(global_subsumption_just,[status(thm)],[c_24651,c_163,c_178,c_6231,c_6448,c_6543,c_6897,c_8173,c_8759,c_9931,c_15091,c_21716,c_24651]) ).
tcf(c_24713,plain,
para(sK25,sK20,sK23,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_14972,c_24701]) ).
tcf(c_24714,plain,
para(sK27,sK22,sK23,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_14971,c_24701]) ).
tcf(c_25057,plain,
para(sK23,sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_24713,c_53]) ).
tcf(c_25077,plain,
para(sK23,sK23,sK27,sK22),
inference(superposition,[status(thm)],[c_24714,c_53]) ).
tcf(c_25977,plain,
coll(sK26,sK23,sK22),
inference(superposition,[status(thm)],[c_16370,c_16416]) ).
tcf(c_26491,plain,
coll(sK26,sK22,sK23),
inference(superposition,[status(thm)],[c_25977,c_49]) ).
tcf(c_27202,plain,
( para(sK24,sK25,sK26,sK27)
| ~ para(sK24,sK25,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_28189,plain,
coll(sK20,sK23,sK26),
inference(superposition,[status(thm)],[c_26491,c_6032]) ).
tcf(c_28321,plain,
coll(sK20,sK26,sK23),
inference(superposition,[status(thm)],[c_28189,c_49]) ).
tcf(c_29507,plain,
coll(sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_28321,c_6036]) ).
tcf(c_29606,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_29507,c_50]) ).
tcf(c_32000,plain,
( cong(sK26,sK22,sK26,sK20)
| ~ midp(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32021,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK23,sK20,sK22)
| ~ coll(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_16210,c_116]) ).
tcf(c_32044,plain,
( midp(sK26,sK20,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32021,c_6465]) ).
tcf(c_32121,plain,
cong(sK27,sK21,sK27,sK21),
inference(global_subsumption_just,[status(thm)],[c_16239,c_163,c_178,c_6231,c_6448,c_6543,c_6897,c_8173,c_8759,c_9931,c_15091,c_16239,c_21716,c_24651]) ).
tcf(c_32132,plain,
cong(sK27,sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_32121,c_71]) ).
tcf(c_32525,plain,
( cong(sK26,sK20,sK26,sK22)
| ~ cong(sK26,sK22,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_37450,plain,
! [X0: $i] :
( para(sK24,sK25,sK27,sK26)
| ~ midp(sK25,X0,sK26)
| ~ midp(sK24,X0,sK27) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_37451,plain,
( para(sK24,sK25,sK27,sK26)
| ~ midp(sK25,sK20,sK26)
| ~ midp(sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_37450]) ).
tcf(c_39149,plain,
( circle(sK24,sK20,sK22,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_12919,c_16183]) ).
tcf(c_39263,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_39149,c_102]) ).
tcf(c_39264,plain,
( perp(sK20,sK22,sK22,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39263,c_4304]) ).
tcf(c_39268,plain,
! [X0: $i] :
( midp(sK25,X0,sK26)
| ~ midp(sK20,X0,sK23)
| ~ coll(sK25,X0,sK26) ),
inference(superposition,[status(thm)],[c_24048,c_94]) ).
tcf(c_39285,plain,
( midp(sK25,sK20,sK26)
| ~ midp(sK20,sK20,sK23)
| ~ coll(sK25,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_39268]) ).
tcf(c_39292,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ midp(sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_39264,c_104]) ).
tcf(c_39393,plain,
para(sK21,sK24,sK22,sK27),
inference(superposition,[status(thm)],[c_24416,c_53]) ).
tcf(c_40008,plain,
! [X0: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK23,X0,sK25)
| ~ coll(sK23,X0,sK20) ),
inference(superposition,[status(thm)],[c_25057,c_94]) ).
tcf(c_40025,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK23,sK20,sK25)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40008]) ).
tcf(c_40308,plain,
! [X0: $i] :
( midp(sK23,X0,sK22)
| ~ midp(sK23,X0,sK27)
| ~ coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_25077,c_94]) ).
tcf(c_40325,plain,
( midp(sK23,sK20,sK22)
| ~ midp(sK23,sK20,sK27)
| ~ coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_40308]) ).
tcf(c_40454,plain,
cong(sK21,sK27,sK27,sK21),
inference(superposition,[status(thm)],[c_32132,c_72]) ).
tcf(c_41584,plain,
! [X0: $i] :
( midp(sK24,X0,sK27)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK24,X0,sK27) ),
inference(superposition,[status(thm)],[c_39393,c_94]) ).
tcf(c_41601,plain,
( midp(sK24,sK20,sK27)
| ~ midp(sK21,sK20,sK22)
| ~ coll(sK24,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_41584]) ).
tcf(c_41603,plain,
~ midp(sK21,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_39292,c_162,c_6271,c_8561,c_8680,c_11588,c_16119,c_16293,c_17201,c_17884,c_27202,c_37451,c_39285,c_41601]) ).
tcf(c_42925,plain,
cong(sK21,sK27,sK21,sK27),
inference(superposition,[status(thm)],[c_40454,c_71]) ).
tcf(c_43364,plain,
( midp(sK21,sK27,sK27)
| ~ coll(sK21,sK27,sK27) ),
inference(superposition,[status(thm)],[c_42925,c_116]) ).
tcf(c_43376,plain,
midp(sK21,sK27,sK27),
inference(forward_subsumption_resolution,[status(thm)],[c_43364,c_7570]) ).
tcf(c_43608,plain,
midp(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_43376,c_9821]) ).
tcf(c_50089,plain,
( midp(sK23,sK22,sK20)
| ~ midp(sK21,sK22,sK22) ),
inference(superposition,[status(thm)],[c_29606,c_8363]) ).
tcf(c_50094,plain,
midp(sK23,sK22,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_50089,c_43608]) ).
tcf(c_50118,plain,
midp(sK26,sK22,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_9125,c_50094]) ).
tcf(c_50122,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50118,c_41603,c_40325,c_40025,c_32525,c_32044,c_32000,c_24381,c_21508,c_17973,c_17951,c_17776,c_17175,c_11588,c_10098,c_8680,c_8619,c_8566,c_8533,c_8531,c_6429,c_6271,c_6245,c_6231,c_6117,c_6116,c_6111,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO553+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n019.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:23:04 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.42 % Detected problem language: tptp
% 0.13/0.43 % Proving...
% 21.82/3.81 % SZS status Started for theBenchmark.p
% 21.82/3.81 % SZS status Theorem for theBenchmark.p
% 21.82/3.81
% 21.82/3.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.82/3.81
% 21.82/3.81 % ------ iProver source info
% 21.82/3.81
% 21.82/3.81 % git: date: 2026-07-19 20:42:38 +0200
% 21.82/3.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.82/3.81 % git: non_committed_changes: false
% 21.82/3.81
% 21.82/3.81 % ------ Parsing...
% 21.82/3.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.82/3.81
% 21.82/3.81 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 21.82/3.81
% 21.82/3.81 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 21.82/3.81
% 21.82/3.81 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 21.82/3.81 % ------ Proving...
% 21.82/3.81 % ------ Problem Properties
% 21.82/3.81
% 21.82/3.81 %
% 21.82/3.81 % clauses 123
% 21.82/3.81 % conjectures 11
% 21.82/3.81 % EPR 86
% 21.82/3.81 % Horn 113
% 21.82/3.81 % unary 11
% 21.82/3.81 % binary 37
% 21.82/3.81 % lits 339
% 21.82/3.81 % lits eq 4
% 21.82/3.81 % fd_pure 0
% 21.82/3.81 % fd_pseudo 0
% 21.82/3.81 % fd_cond 0
% 21.82/3.81 % fd_pseudo_cond 4
% 21.82/3.81 % AC symbols 0
% 21.82/3.81
% 21.82/3.81 % ------ Schedule dynamic 5 is on
% 21.82/3.81
% 21.82/3.81 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.82/3.81
% 21.82/3.81
% 21.82/3.81 % ------
% 21.82/3.81 % Current options:
% 21.82/3.81 % ------
% 21.82/3.81
% 21.82/3.81
% 21.82/3.81 %
% 21.82/3.81
% 21.82/3.81 % ------ Proving...
% 21.82/3.81 %
% 21.82/3.81
% 21.82/3.81 % SZS status Theorem for theBenchmark.p
% 21.82/3.81
% 21.82/3.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.82/3.82
% 21.82/3.82
%------------------------------------------------------------------------------